Classifying Real Numbers

Front

What are real numbers?

Back

Real numbers include all the numbers on the number line, including rational numbers (like integers and fractions) and irrational numbers (like √2 and π).

Front

What is a rational number?

Back

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. Its decimal representation goes on forever without repeating.

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not have any fractional or decimal part.

Front

Can negative numbers be rational?

Back

Yes, negative numbers can be rational if they can be expressed as a fraction of two integers.

Front

Is 0 a rational number?

Back

Front

What is the difference between a repeating decimal and a non-repeating decimal?

Back

A repeating decimal has a digit or group of digits that repeat infinitely (e.g., 0.333...), while a non-repeating decimal does not (e.g., 0.5).

Front

Is the number 5.676677666777... rational or irrational?

Back

It is irrational because it has a non-repeating pattern.

Front

What is the square root of a positive number classified as?

Back

The square root of a positive number is classified as a real number, and it can be rational or irrational depending on whether it can be expressed as a fraction.

Front

What is the classification of the number π?

Back

The number π is classified as an irrational number because it cannot be expressed as a fraction.